Question

1. if (\triangle efgcong\triangle hjk), complete each part.

(overline{eg}cong)
(overline{hj}cong)
(angle fcong)
(angle hcong)
(\triangle fgecong)
drag and drop the correct choice into the blank spaces above
(angle b)
(angle j)
(overline{hk})
(overline{ef})
(\triangle jkh)

Explanation:

Step1: Recall the properties of congruent triangles

When \(\triangle EFG\cong\triangle HJK\), corresponding angles and sides are equal.

Step2: Match angles and sides

• For angles: \(\angle F\) in \(\triangle EFG\) corresponds to \(\angle J\) in \(\triangle HJK\), \(\angle H\) in \(\triangle HJK\) corresponds to \(\angle E\) in \(\triangle EFG\)
• For sides: \(\overline{HJ}\) in \(\triangle HJK\) corresponds to \(\overline{EF}\) in \(\triangle EFG\), \(\overline{EG}\) in \(\triangle EFG\) corresponds to \(\overline{HK}\) in \(\triangle HJK\)
• For triangles: \(\triangle FGE\) in \(\triangle EFG\) corresponds to \(\triangle JKH\) in \(\triangle HJK\)

Answer:

\(\angle H\cong\angle E\), \(\angle F\cong\angle J\), \(\overline{HJ}\cong\overline{EF}\), \(\overline{EG}\cong\overline{HK}\), \(\triangle FGE\cong\triangle JKH\)